Question

Triangle abc is such that ab = 5cm , ac = 10cm and angle abc = 90 degrees. an arc of a circle, center o and radius 5 cm cuts ac at d

Answer 1

The length of arc AD can be calculated using the given information.

Step-by-step explanation:

We can approximate ▲ABC as a ‘slice’ of a much bigger circle, where the length of the baseline is approximately equal to the length of the corresponding arc. There are 360 degrees in a circle and a degrees in this particular arc, so a degrees will correspond to an arclength of:

arc_length = (a/360) * (2π * r)

In this case, the arc cuts AC at point D, so the length of arc AD is equal to half of the length of arc AB, since the two arcs are congruent:

arc_AD = arc_AB/2

Therefore, we have:

length_AD = (0.5/360) * (2π * 5)